105586001 has 2 divisors, whose sum is σ = 105586002. Its totient is φ = 105586000.

The previous prime is 105585979. The next prime is 105586009. The reversal of 105586001 is 100685501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101525776 + 4060225 = 10076^2 + 2015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105586001 is a prime.

It is a super-2 number, since 2×105586001² = 22296807214344002, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6064406 and since 105586001 and 6064406 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105586009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52793000 + 52793001.

It is an arithmetic number, because the mean of its divisors is an integer number (52793001).

Almost surely, 2^105586001 is an apocalyptic number.

It is an amenable number.

105586001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105586001 is an equidigital number, since it uses as much as digits as its factorization.

105586001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 105586001 is about 10275.5049024367. The cubic root of 105586001 is about 472.6454127250.

The spelling of 105586001 in words is "one hundred five million, five hundred eighty-six thousand, one".